One of the most relevant
features of the intensity spectrum shown in
Fig. REF  is that it becomes more and more
structured and heterogeneous upon decreasing the temperature A first analysis of this phenomenon in terms of intensity
equipartition breaking among the different modes has been performed
in [1]}, and a deepening of the collective inhomogeneous behavior of the modes will be presented elsewhere  . Another interesting feature of the
spectrum is the central band narrowing, akin to the spectra of true
experimental realizations of random lasers [2]}, [3]}. This is a consequence of the
fact that band-edge modes are less interacting and, as far as numerical simulations are concerned, is one of the reasons why this sort of simulations are plagued by
strong finite-size effects.
<FIGURE><FIGURE>